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4x-8=2x+8=
We move all terms to the left:
4x-8-(2x+8)=0
We get rid of parentheses
4x-2x-8-8=0
We add all the numbers together, and all the variables
2x-16=0
We move all terms containing x to the left, all other terms to the right
2x=16
x=16/2
x=8
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